reasoning-gym/reasoning_gym/arithmetic/gsm_symbolic/generator_88.py

56 lines
2.7 KiB
Python

from random import Random
from typing import Dict, Any
def generate_from_variables(school: str, venue: str, total: int, graduates: int, faculty: int) -> Dict[str, Any]:
remaining_seats = total - (graduates + faculty)
tickets_per_graduate = remaining_seats // graduates
question = f"{school} is holding graduation in their {venue} this year which has space for {total} people. After accounting for {graduates} seats for graduates and {faculty} seats for faculty attending, how many tickets would each graduate receive to give to their friends and family if the tickets are split equally?"
answer_cot = f"Add graduate and faculty seats together. {graduates} + {faculty} = {graduates+faculty} seats for faculty and graduates\nMinus seats for faculty and graduates from total seats allowed. {total} - {graduates+faculty} = {remaining_seats} remaining seats.\nDivide remaining seats by the number of graduates. {remaining_seats}/{graduates} = {tickets_per_graduate} tickets\n#### {tickets_per_graduate}"
return {
'question': question,
'answer': str(tickets_per_graduate),
'answer_cot': answer_cot,
'answer_value': tickets_per_graduate,
'variables': {
'school': school,
'venue': venue,
'total_seats': total,
'graduate_seats': graduates,
'faculty_seats': faculty,
'remaining_seats': remaining_seats,
'tickets_per_graduate': tickets_per_graduate
}
}
def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
schools = ["Oakwood High School", "Riverside Academy", "Sunnyside High", "Greenville High School"]
venues = ["Auditorium", "Gymnasium", "Sports Arena", "Convention Center"]
school = rng.choice(schools)
venue = rng.choice(venues)
graduates = int(rng.randint(500, int(1500 * difficulty)) // 50 * 50)
faculty = int(rng.randint(100, int(500 * difficulty)) // 50 * 50)
# Ensure total seats allow for integer division of remaining seats
remaining_seats = rng.randint(2, int(10 * difficulty)) * graduates
total = remaining_seats + graduates + faculty
result = generate_from_variables(school, venue, total, graduates, faculty)
return {
'question': result['question'],
'answer': result['answer'],
'metadata': {
'difficulty': difficulty,
'answer_value': result['answer_value'],
'answer_cot': result['answer_cot'],
'variables': result['variables']
}
}
def original_example() -> Dict[str, Any]:
return generate_from_variables("Apple High School", "Fine Arts Center", 6000, 950, 300)